Exhibit-B. Lehmann Company produces Zip drives on two different manufacturing processes. The management of this company selects independent samples from each process. The following information is based on independent random samples taken from two normally distributed populations. Department A Department B Sample size 12 16 Sample mean (in minutes) 10 14 Sample variance (S²) 25 9 04. Refer to Exhibit-B. The manager first wants to test H₁:0≤o against H:>. At the 5% significance level, can the manager conclude that Process A has a larger variance than Process B? (A) Because F÷ 1.67, we do not reject the null hypothesis. (B) Because F÷ 1.67, we do reject the null hypothesis. (C) Because F÷2.78, we do not reject the null hypothesis. (D) Because F÷2.78, we do reject the null hypothesis. 05. Refer to Exhibit-B. Perform a test of hypothesis to determine if the mean time of Process B is larger than the mean time of Process A. That is, we want to test Ho: ≥₂ against H: <₂. The degrees of freedom for the test are 0 (A) 16 (B) 26 (C) 27 (D) 28 06. Refer to Exhibit-B. Use a 5% level of significance, determine the true statement for testing H₁ : ₂ ≥ µ₂ against 0 H_:μ < M. (A) Because t= -2.46, we do not reject the null hypothesis. (B) Because p-value<0.05, we do not reject the null hypothesis. (C) Because t= -2.46, we do reject the null hypothesis. (D) None of these alternatives is correct.

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Exhibit-B. Lehmann Company produces Zip drives on two different manufacturing processes. The management of
this company selects independent samples from each process. The following information is based on independent
random samples taken from two normally distributed populations.
Department A
Department B
Sample size
12
16
Sample mean (in minutes)
10
14
Sample variance (S²)
25
9
04. Refer to Exhibit-B. The manager first wants to test H₁:0≤o against H:>. At the 5% significance level,
can the manager conclude that Process A has a larger variance than Process B?
(A) Because F÷ 1.67, we do not reject the null hypothesis.
(B) Because F÷ 1.67, we do reject the null hypothesis.
(C) Because F÷2.78, we do not reject the null hypothesis.
(D) Because F÷2.78, we do reject the null hypothesis.
05. Refer to Exhibit-B. Perform a test of hypothesis to determine if the mean time of Process B is larger than the
mean time of Process A. That is, we want to test Ho: ≥₂ against H: <₂. The degrees of freedom for
the test are
0
(A) 16 (B) 26 (C) 27 (D) 28
06. Refer to Exhibit-B. Use a 5% level of significance, determine the true statement for testing H₁ : ₂ ≥ µ₂ against
0
H_:μ < M.
(A) Because t= -2.46, we do not reject the null hypothesis.
(B) Because p-value<0.05, we do not reject the null hypothesis.
(C) Because t= -2.46, we do reject the null hypothesis.
(D) None of these alternatives is correct.
Transcribed Image Text:Exhibit-B. Lehmann Company produces Zip drives on two different manufacturing processes. The management of this company selects independent samples from each process. The following information is based on independent random samples taken from two normally distributed populations. Department A Department B Sample size 12 16 Sample mean (in minutes) 10 14 Sample variance (S²) 25 9 04. Refer to Exhibit-B. The manager first wants to test H₁:0≤o against H:>. At the 5% significance level, can the manager conclude that Process A has a larger variance than Process B? (A) Because F÷ 1.67, we do not reject the null hypothesis. (B) Because F÷ 1.67, we do reject the null hypothesis. (C) Because F÷2.78, we do not reject the null hypothesis. (D) Because F÷2.78, we do reject the null hypothesis. 05. Refer to Exhibit-B. Perform a test of hypothesis to determine if the mean time of Process B is larger than the mean time of Process A. That is, we want to test Ho: ≥₂ against H: <₂. The degrees of freedom for the test are 0 (A) 16 (B) 26 (C) 27 (D) 28 06. Refer to Exhibit-B. Use a 5% level of significance, determine the true statement for testing H₁ : ₂ ≥ µ₂ against 0 H_:μ < M. (A) Because t= -2.46, we do not reject the null hypothesis. (B) Because p-value<0.05, we do not reject the null hypothesis. (C) Because t= -2.46, we do reject the null hypothesis. (D) None of these alternatives is correct.
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